The interesting phenomena arising from the 4.26 energy region is also a challenge
for potential quark models in the study of the \(c\bar{c}\)  spectrum. In the LP model,
it is almost impossible to accommodate the mass of \(Y(4230,4260)\)  in the spectrum.
In contrast, in the SP model the mass of \(\psi (4S)\)  is found to be around 4.28 GeV.
This might indicate the important role played by the \(S\) -wave threshold of \(DD_1(2420)\) 
which can be partially accounted for by the screening effects. Therefore, if we assume
that \(Y(4260)\)  is dominated by the \(\psi (4S)\)  component in the wave function, we can
investigate its decay properties as a charmonium state. As shown by the results listed
in Table REF , we find that \(Y(4260)\)  should be a very narrow state with a width of \(\sim 14\)  MeV,
and its strong decays are dominated by the \(D^*D^*\)  mode. Although such a result is
consistent with that from Ref. [1]} and several
consequent works [2]}, [3]}, [4]} with the assignment of \(Y(4260)\)  as the \(\psi (4S)\) 
state, the narrow width does not agree with the measured value of about
\(55\pm 19\)  MeV [5]}. Note that such a solution also cannot be accommodated by the two-state fitting performed by Ref. [6]}. Another issue is that if we assign \(Y(4260)\)  to \(\psi (4S)\) ,
we will be unable to understand the decay properties of \(\psi (4415)\)  in the SP model at all, which will
be discussed later.
